The limit of the vanishing Debye length (the charge neutral limit) in a non-linear bipolar drift-diffusion model for semiconductors without a pn-junction (i.e., with a unipolar background charge) is studied. The quasi-neutral limit (zero-Debye-length limit) is determined rigorously by using the so-called entropy functional which yields appropriate uniform estimates.
- Entropy method
- Nonlinear drift-diffusion equations
- Quasi-neutral limit
ASJC Scopus subject areas
- Applied Mathematics